It's another "hit or miss" attempt, but using Brad Artigue's FI Guide you might want to check the throttle position sensor (TPS). It's an easy check and be sure to also check its plug (both the male and female ends) and wires too. The TPS can tell the ECU to stop firing the injectors. (The TPS is right where you would expect it to be - on the side of the throttle.)
Don't take your car to anyone who does not work on Fiat Spiders. They will waste your money on this problem.
If you ultimately need to swap-test your ECU, let me know and I'll lend you one.
I've been where you are on this

